Finding the Fourth Proportional to 1,004.27, 1,386.06 and 584.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.27 : 1,386.06 = 584.90 : x
2. Step 2: Convert to fraction form
   1,004.27/1,386.06 = 584.90/x
3. Step 3: Cross multiply
   1,004.27x = 1,386.06 × 584.90
4. Step 4: Simplify right side
   1,004.27x = 810,699.56
5. Step 5: Solve for x
   x = 810,699.56/1,004.27
6. Step 6: Final answer
   x = 807.25